Finding the Third Proportional to 77,120 and 113,248

Step by Step Solution

1. Step 1: Write the proportion equation
   77,120 : 113,248 = 113,248 : x
2. Step 2: Convert to fraction form
   77,120/113,248 = 113,248/x
3. Step 3: Cross multiply
   77,120x = 113,248 × 113,248
4. Step 4: Simplify right side
   77,120x = 12,825,109,504
5. Step 5: Solve for x
   x = 12,825,109,504/77,120
6. Step 6: Final answer
   x = 166,300.69